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12731866713150 = 23521317333767549
BaseRepresentation
bin1011100101000101111001…
…1001001000110000111110
31200002011011200102020221120
42321101132121020300332
53132044330334310100
643024534441411410
72452563345306204
oct271213631106076
950064150366846
1012731866713150
114069610927772
121517630499b66
137147c0b9c3c0
1432032320d074
151712b99370a0
hexb945e648c3e

12731866713150 has 96 divisors (see below), whose sum is σ = 34023508293600. Its totient is φ = 3132188705280.

The previous prime is 12731866713079. The next prime is 12731866713187. The reversal of 12731866713150 is 5131766813721.

12731866713150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12731866713093 and 12731866713102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1495576 + ... + 5263124.

It is an arithmetic number, because the mean of its divisors is an integer number (354411544725).

Almost surely, 212731866713150 is an apocalyptic number.

12731866713150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12731866713150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17011754146800).

12731866713150 is an abundant number, since it is smaller than the sum of its proper divisors (21291641580450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12731866713150 is a wasteful number, since it uses less digits than its factorization.

12731866713150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769310 (or 3769305 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 12731866713150 in words is "twelve trillion, seven hundred thirty-one billion, eight hundred sixty-six million, seven hundred thirteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1733 1950 3466 5199 8665 10398 17330 22529 25995 43325 45058 51990 67587 86650 112645 129975 135174 225290 259950 337935 563225 675870 1126450 1689675 3379350 3767549 7535098 11302647 18837745 22605294 37675490 48978137 56513235 94188725 97956274 113026470 146934411 188377450 244890685 282566175 293868822 489781370 565132350 734672055 1224453425 1469344110 2448906850 3673360275 6529162417 7346720550 13058324834 19587487251 32645812085 39174974502 65291624170 84879111421 97937436255 163229060425 169758222842 195874872510 254637334263 326458120850 424395557105 489687181275 509274668526 848791114210 979374362550 1273186671315 2121977785525 2546373342630 4243955571050 6365933356575 12731866713150